System and method for hash-based entropy calculation

ABSTRACT

A method, computer program product, and computing system for receiving a candidate data portion; calculating a distance-preserving hash for the candidate data portion; and performing an entropy analysis on the distance-preserving hash to generate a hash entropy for the candidate data portion.

TECHNICAL FIELD

This disclosure relates to storage management processes and, moreparticularly, to storage management processes that maximize storageefficiency.

BACKGROUND

Storing and safeguarding electronic content is of paramount importancein modern business. Accordingly, various methodologies may be employedto protect and distribute such electronic content, wherein the storagesystems that process such content may strive to do so in as an efficientmanner as possible. Unfortunately, and due to inherent limitations insome of the technology utilized in such storage systems, complexmethodologies may need to be utilized in order to navigate around suchinherent shortcomings. For example, as memory technology advances, thespeed of such memory technology is vastly increasing . . . as is theprice of such memory technology. Accordingly, systems and methods (e.g.,such as deduplication and compression) may be employed that enhanceefficiency concerning the use of such memory systems.

SUMMARY OF DISCLOSURE

In one implementation, a computer-implemented method is executed on acomputing device and includes: receiving a candidate data portion;calculating a di stance-preserving hash for the candidate data portion;and performing an entropy analysis on the distance-preserving hash togenerate a hash entropy for the candidate data portion.

One or more of the following features may be included. The hash entropyfor the candidate data portion may be compared to a predefined hashentropy threshold. If the hash entropy for the candidate data portionadheres to the predefined hash entropy threshold, the candidate dataportion may be compressed. If the hash entropy for the candidate dataportion exceeds the predefined hash entropy threshold, the hash entropyfor the candidate data portion may be compared to one or more targetdata portion hash entropies to identify one or more potential targetdata portions. A comparison analysis may be compared on the one or morepotential target data portions, with respect to the candidate dataportion, to identify an acceptable target data portion. A deduplicationoperation of the candidate data portion may be performed based upon theacceptable target data portion. The predefined hash entropy thresholdmay be configured such that: a data compression operation will yield amore efficient result than a deduplication operation when the candidatedata portion has a hash entropy that adheres to the hash entropythreshold; and a deduplication operation will yield a more efficientresult than a data compression operation when the candidate data portionhas a hash entropy above the hash entropy threshold.

In another implementation, a computer program product resides on acomputer readable medium and has a plurality of instructions stored onit. When executed by a processor, the instructions cause the processorto perform operations including receiving a candidate data portion;calculating a distance-preserving hash for the candidate data portion;and performing an entropy analysis on the distance-preserving hash togenerate a hash entropy for the candidate data portion.

One or more of the following features may be included. The hash entropyfor the candidate data portion may be compared to a predefined hashentropy threshold. If the hash entropy for the candidate data portionadheres to the predefined hash entropy threshold, the candidate dataportion may be compressed. If the hash entropy for the candidate dataportion exceeds the predefined hash entropy threshold, the hash entropyfor the candidate data portion may be compared to one or more targetdata portion hash entropies to identify one or more potential targetdata portions. A comparison analysis may be compared on the one or morepotential target data portions, with respect to the candidate dataportion, to identify an acceptable target data portion. A deduplicationoperation of the candidate data portion may be performed based upon theacceptable target data portion. The predefined hash entropy thresholdmay be configured such that: a data compression operation will yield amore efficient result than a deduplication operation when the candidatedata portion has a hash entropy that adheres to the hash entropythreshold; and a deduplication operation will yield a more efficientresult than a data compression operation when the candidate data portionhas a hash entropy above the hash entropy threshold.

In another implementation, a computing system includes a processor andmemory is configured to perform operations including receiving acandidate data portion; calculating a distance-preserving hash for thecandidate data portion; and performing an entropy analysis on thedistance-preserving hash to generate a hash entropy for the candidatedata portion.

One or more of the following features may be included. The hash entropyfor the candidate data portion may, be compared to a predefined hashentropy threshold. If the hash entropy for the candidate data portionadheres to the predefined hash entropy threshold, the candidate dataportion may be compressed. If the hash entropy for the candidate dataportion exceeds the predefined hash entropy threshold, the hash entropyfor the candidate data portion may be compared to one or more targetdata portion hash entropies to identify one or more potential targetdata portions. A comparison analysis may be compared on the one or morepotential target data portions, with respect to the candidate dataportion, to identify an acceptable target data portion. A deduplicationoperation of the candidate data portion may be performed based upon theacceptable target data portion. The predefined hash entropy thresholdmay be configured such that: a data compression operation will yield amore efficient result than a deduplication operation when the candidatedata portion has a hash entropy that adheres to the hash entropythreshold; and a deduplication operation will yield a more efficientresult than a data compression operation when the candidate data portionhas a hash entropy above the hash entropy threshold.

The details of one or more implementations are set forth in theaccompanying drawings and the description below, Other features andadvantages will become apparent from the description, the drawings, andthe claims.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a diagrammatic view of a storage system and a storagemanagement process coupled to a distributed computing network;

FIG. 2 is a diagrammatic view of the storage system of FIG. 1;

FIGS. 3A-3B are diagrammatic views of various blocks and sectors;

FIG. 4 is a flow chart of one embodiment of the storage managementprocess of FIG. 1;

FIG. 5 is a flow chart of another embodiment of the storage managementprocess of FIG. 1;

FIG. 6 is a flow chart of another embodiment of the storage managementprocess of FIG. 1;

FIG. 7 is a flow chart of another embodiment of the storage managementprocess of FIG. 1;

FIG. 8 is a diagrammatic view of various blocks and sectors; and

FIG. 9 is a flow chart of another embodiment of the storage managementprocess of FIG. 1.

Like reference symbols in the various drawings indicate like elements.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

System Overview:

Referring to FIG. 1, there is shown storage management process 10 thatmay reside on and may be executed by storage system 12, which may beconnected to network 14 (e.g., the Internet or a local area network).Examples of storage system 12 may include, but are not limited to: apersonal computer with a memory system, a server computer with a memorysystem, a Network Attached Storage (NAS) system, a Storage Area Network(SAN) and a cloud-based device with a memory system.

As is known in the art, a SAN may include one or more of a personalcomputer, a server computer, a series of server computers, a minicomputer, a mainframe computer, a RAID device and a NAS system. Thevarious components of storage system 12 may execute one or moreoperating systems, examples of which may include but are not limited to:Microsoft Windows Server™; Redhat Linux™, Unix, or a custom operatingsystem, for example.

The instruction sets and subroutines of storage management process 10,which may be stored on storage device 16 coupled to storage system 12,may be executed by one or more processors (not shown) and one or morememory architectures (not shown) included within storage system 12,Storage device 16 may include but is not limited to: a hard disk drive;an optical drive; a RAID device; a random access memory (RAM); aread-only memory (ROM); and all forms of flash memory storage devices.

Network 14 may be connected to one or more secondary networks (e.g.,network 18), examples of which may include but are not limited to: alocal area network; a wide area network; or an intranet, for example.

Various IO requests (e.g. IO request 20) may be sent from clientapplications 22, 24, 26, 28 to storage system 12. Examples of IO request20 may include but are not limited to data write requests (i.e. arequest that content be written to storage system 12) and data readrequests (i.e. a request that content be read from storage system 12).

The instruction sets and subroutines of client applications 22, 24, 26,28, which may be stored on storage devices 30, 32, 34, 36 (respectively)coupled to client electronic devices 38, 40, 42, 44 (respectively), maybe executed by one or more processors (not shown) and one or more memoryarchitectures (not shown) incorporated into client electronic devices38, 40, 42, 44 (respectively). Storage devices 30, 32, 34, 36 mayinclude but are not limited to: hard disk drives; optical drives; RAIDdevices; random access memories (RAM); read-only memories (ROM), and allforms of flash memory storage devices. Examples of client electronicdevices 38, 40; 42, 44 may include, but are not limited to, personalcomputer 38, laptop computer 40, smartphone 42, notebook computer 44, aserver (not shown), a data-enabled, cellular telephone (not shown), anda dedicated network device (not shown).

Users 46, 48, 50, 52 may access storage system 12 directly throughnetwork 14 or through secondary network 18. Further, storage system 12may be connected to network 14 through secondary network 18, asillustrated with link line 54.

The various client electronic devices (e.g., client electronic devices38, 40, 42, 44) may be directly or indirectly coupled to network 14 (ornetwork 18). For example; personal computer 38 is shown directly coupledto network 14 via a hardwired network connection. Further, notebookcomputer 44 is shown directly coupled to network 18 via a hardwirednetwork connection. Laptop computer 40 is shown wirelessly coupled tonetwork 14 via wireless communication channel 56 established betweenlaptop computer 40 and wireless access point (i.e., WAP) 58, which isshown directly coupled to network 14. WAP 58 may be, for example, anIEEE 802.11a, 802.11b, 802.11g, 802.11n, Wi-Fi; and/or Bluetooth devicethat is capable of establishing wireless communication channel 56between laptop computer 40 and WAP 58. Smartphone 42 is shown wirelesslycoupled to network 14 via wireless communication channel 60 establishedbetween smartphone 42 and cellular network/bridge 62, which is showndirectly coupled to network 14.

Client electronic devices 38, 40, 42, 44 may each execute an operatingsystem, examples of which may include but are not limited to MicrosoftWindows™, Apple Macintosh™, Redhat Linux™, or a custom operating system.

The Data Storage System:

Referring also to FIG. 2, there is shown a general implementation ofstorage system 12. In this general implementation, storage system 12 mayinclude processing platform 100, wherein processing platform 100 may beconfigured to perform computational tasks and may be configured to storedata within storage platform 102.

Depending on the manner in which storage system 12 is configured,storage platform 102 may include a single storage device (such as asingle hard disk drive or a single solid state storage device) or mayinclude a plurality of storage devices that are configured to providevarious levels of performance and/or high availability. For example, ifstorage platform 102 includes a plurality of storage devices (e.g.; harddisk drives and/or solid state storage devices), this plurality ofstorage devices may be configured to form a RAID array utilizing variousstandard RAID structures (e.g., RAID 0, RAID 1, RAID 3; RAID 5, RAID 6;RAID 7 or RAID 10); thus providing a higher level of performance and/oravailability.

Storage system 12 may be configured to execute all or a portion ofstorage management process 10. The instruction sets and subroutines ofstorage management process 10, which may be stored on a storage device(e.g., storage device 16) coupled to processing platform 100, may beexecuted by one or more processors (not shown) and one or more memoryarchitectures (not shown) included within processing platform 100.Storage device 16 may include but is not limited to: a hard disk drive;a RAID device; a random access memory (RAM); a read-only memory (ROM);and all forms of flash memory storage devices.

As discussed above, various IO requests (e.g. IO request 20) may begenerated. For example; these IO requests may be sent from clientapplications 22, 24, 26, 28 to storage system 12.Additionally/alternatively and when storage system 12 is configured asan application server, these IO requests may be internally generatedwithin storage system 12. Examples of IO request 20 may include but arenot limited to data write request 104 (i.e. a request that content 106be written to storage system 12) and data read request 108 (i.e. arequest that content 106 be read from storage system 12).

During operation of processing platform 100, content 106 to be writtento storage system 12 may be processed by processing platform 100.Additionally/alternatively and when storage system 12 is configured asan application server, content 106 to be written to storage system 12may be internally generated by processing platform 100.

Processing platform 100 may include cache memory system 110. Examples ofcache memory system 110 may include but are not limited to a volatile,solid-state, cache memory system (e.g., a dynamic RAM cache memorysystem) and/or a non-volatile, solid-state, cache memory system (e.g., aflash-based, cache memory system). Processing platform 100 may initiallystore content 106 within cache memory system 110. Depending upon themanner in which cache memory system 110 is configured, processingplatform 100 may immediately write content 106 to storage platform 102(if cache memory system 110 is configured as a write-through cache) ormay subsequently write content 106 to storage platform 102 (if cachememory system 110 is configured as a write-back cache).

Storage system 12 may be configured to include a plurality of processingplatforms and/or storage platforms (wherein a processing platform and astorage platform may collectively constitute a node). For example and inaddition to processing platform 100/storage platform 102, storage system12 may include (in this example) three additional nodes (e.g., nodes112, 114, 116), each of which (as discussed above) may include aprocessing platform and a storage platform (not shown), wherein each ofthese nodes (e.g., nodes 112, 114, 116) may be coupled via a meshnetwork (e.g., mesh network 118).

As discussed above, storage platform 102 may include a plurality ofstorage devices (e.g., hard disk drives and/or solid state storagedevices), wherein this plurality of storage devices may be configured toform a RAID array utilizing various standard RAID structures (e.g., RAID0, RAID 1, RAID 3, RAID 5, RAID 6, RAID 7 or RAID 10), thus providing ahigher level of performance and/or availability.

The cost per storage unit (e.g. gigabyte or terabyte) of storageplatform 102 may vary greatly depending on the specific technologyutilized within storage platform 102. For example, rotatingelectromechanical media (e.g., hard disk drives) may be comparativelyinexpensive concerning their cost per storage unit. However, solid-statestorage devices (e.g., flash memory storage devices) tend to beconsiderably more expensive per storage unit than rotatingelectromechanical media. Therefore, various technology and methodologiesmay be utilized to maximize the efficiency of such costlier storagetechnology. Examples of such technology may include but are not limitedto data compression technology and data deduplication technology.

As is known in the art, data compression is a technique for reducing thenumber of bits needed to represent data within a storage device.Compressing data may save storage capacity, may speed up file transfers,and may decrease the cost of storage hardware and network bandwidth.Compression may be performed via an algorithm that determines how toshrink the size of the data. For instance, the algorithm may represent alarger string of bits with a smaller string of bits and may define adictionary that maps out the conversion between the strings of bits.

As is known in the art, data deduplication is a technique foreliminating duplicate copies of repeating data. This technique is usedto improve storage utilization and can also be applied to network datatransfers to reduce the number of bytes that must be sent. In thededuplication process, unique chunks of data, or byte patterns, may beidentified and stored during a process of analysis. As the analysiscontinues, other chunks are compared to the stored copy and whenever amatch occurs, the redundant chunk is replaced with a small referencethat points to the stored chunk. Given that the same byte pattern mayoccur dozens, hundreds, or even thousands of times, the amount of datathat must be stored or transferred can be greatly reduced.

Referring also to FIGS. 3A-3B and with respect to deduplication, suchdeduplication may occur either as full deduplication or as partialdeduplication.

An example of such a full deduplication operation is illustrated in FIG.3A, wherein a deduplication candidate (e.g., content 106) may be a fourkilobyte (4,096 byte) block that includes eight 512 byte sectors (e.g.,sectors 200, 202, 204, 206, 208, 210, 212, 214). Assume that thededuplication candidate (e.g., content 106) is received by storagesystem 12 and, prior to writing the deduplication candidate (e.g.,content 106) to storage platform 102, processing platform 100 maydetermine whether deduplication is possible. Accordingly, processingplatform 100 may identify deduplication target 216, which may have beenpreviously stored within storage platform 102 and may also include eight512 byte sectors e.g.; sectors 218, 220, 222, 224, 226, 228, 230, 232).

While the deduplication candidate (e.g., content 106) and deduplicationtarget 216 are shown to be four kilobyte (4,096 byte) blocks thatinclude eight 512 byte sectors, this is for illustrative purposes onlyand is not intended to be a limitation of this disclosure, as otherconfigurations are possible. For example, the deduplication candidate(e.g., content 106) and deduplication target 216 may be eight kilobyte(8,192 byte) blocks that include eight 1,024 byte sectors

In order for full deduplication to be possible, each sector within thededuplication candidate (e.g., content 106) needs to be identical to thecorresponding sector within deduplication target 216. Accordingly,sector 200 needs to be identical to sector 218; sector 202 needs to beidentical to sector 220; sector 204 needs to be identical to sector 222;sector 206 needs to be identical to sector 224; sector 208 needs to beidentical to sector 226; sector 210 needs to be identical to sector 228;sector 212 needs to be identical to sector 230; and sector 214 needs tobe identical to sector 232.

Assuming that all of the eight sectors of the deduplication candidate(e.g., content 106) and deduplication target 216 are identical, fulldeduplication may occur. Specifically and being that the deduplicationcandidate (e.g., content 106) and deduplication target 216 areidentical, the deduplication candidate (e.g., content 106) does not needto be stored on storage platform 102 and processing platform 100 may usea simple metadata pointer (e.g., pointer 234) to locate deduplicationtarget 216 within storage platform 102. Therefore, in the event that thededuplication candidate (e.g., content 106) needs to be read, processingplatform 100 may use pointer 234 (which may be maintained locally onprocessing platform 100) to retrieve deduplication target 216 fromstorage platform 102 so that it may be used to satisfy any read requestsfor the deduplication candidate (e.g., content 106).

An example of a partial deduplication operation is illustrated in FIG.3B, wherein the deduplication candidate (e.g., content 106) may again bea four kilobyte (4,096 byte) block that includes eight 512 byte sectors(e.g., sectors 200, 202, 204, 206, 208, 210, 212, 214). Again, assumethat the deduplication candidate (e.g., content 106) is received bystorage system 12 and, prior to writing the deduplication candidate(e.g., content 106) to storage platform 102, processing platform 100 maydetermine whether deduplication is possible. Accordingly, processingplatform 100 may again identify deduplication target 216′, which mayhave been previously stored within storage platform 102 and may alsoinclude eight 512 byte sectors (e.g., sectors 218′, 220, 222, 224, 226,228, 230, 232).

Unlike full deduplication, partial deduplication may be possible even ifeach sector within the deduplication candidate (e.g., content 106) isnot identical to the corresponding sector within deduplication target216′. For this example, assume that sector 200 is not identical tosector 218′ (e.g., due to minor edits being made to a header of adocument). However, assume that sector 202 is identical to sector 220;sector 204 is identical to sector 222; sector 206 is identical to sector224; sector 208 is identical to sector 226; sector 210 is identical tosector 228; sector 212 is identical to sector 230; and sector 214 isidentical to sector 232.

Since (as discussed above) all eight sectors of the deduplicationcandidate (e.g., content 106) and deduplication target 216′ are notidentical, full deduplication is not possible. However, as seven ofthose eight sectors are identical, partial deduplication of thededuplication candidate (e.g., content 106) may occur. Specifically, theonly portion of the deduplication candidate (e.g., content 106) that mayneed to be stored on storage platform 102 may be the one unique portionof content 106 (namely sector 200), wherein the remaining (and unsaved)portions of content 106 (namely sectors 202, 204, 206, 208, 210, 212,214) may be obtained via the corresponding sectors of deduplicationtarget 216′ (namely sectors 218, 200, 222, 224, 226, 228, 230).

As will be discussed below in greater detail, storage management process10 may be configured to utilize a comparison operation (e.g., an XORoperation) determine the level of similarity between a potentialdeduplication candidate and a related deduplication target.

Referring also to FIG., 4, storage management process 10 may identify300 a potential deduplication candidate (e.g., content 106) and arelated deduplication target (e.g., deduplication target 216). Again,assume that the potential deduplication candidate (e.g., content 106) isreceived by storage system 12. Further, assume that storage managementprocess 10 identifies 300 deduplication target 216, which may have beenpreviously stored within storage platform 102 and includes eight 512byte sectors (e.g., sectors 218, 220, 222, 224, 226, 228, 230, 232).

When identifying 300 a potential deduplication candidate e.g., content106) and a related deduplication target (e.g., deduplication target216), storage management process 10 may determine 302 that adistance-preserving hash of the potential deduplication candidate (e.g.,content 106) and a distance-preserving hash of the related deduplicationtarget (e.g., deduplication target 216) indicate that the potentialdeduplication candidate (e.g., content 106) and the relateddeduplication target (e.g., deduplication target 216) are potentiallysimilar.

When content is being processed by storage system 12, a hash operationmay be performed on all of the content received/generated to produce amathematical representation of the content (e.g., in the form of storedhashes 120) before the content is stored within storage platform 102,wherein stored hashes 120 may be stored locally (e.g., on processingplatform 100).

Accordingly, and whenever new content is received on processing platform100, a hash of the new content received may be made (thus generating newhash 122) and new hash 122 may be compared to stored hashes 120 todetermine whether there is a match. As stored hashes 120 are maintainedlocally (e.g., on processing platform 100), stored hashes 120 do notneed to be retrieved from storage platform 102 prior to performing thecomparison (thus enhancing comparison efficiency).

Accordingly, and whenever new content (e.g., content 106) isreceived/generated, storage system 12 may determine whether adeduplication procedure can be performed on this new content (e.g.,content 106). Therefore, a hash of this new content (e.g., content 106)may be generated (resulting in new hash 122) and new hash 122 may becompared to each of stored hashes 120 to determine whether a matchexists. If a match does exist, this match may indicate that this newcontent (e.g., content 106) is the same as (or similar to) content thatwas already stored within storage platform 102 (and is thus a candidatefor a deduplication operation).

The above-described mathematical operations that produces stored hashes120 and new hash 122 may be performed in slower and more accurate waysor in faster and less accurate ways. For example, cryptographic hashestend to be more accurate but are computationally more expensive.Conversely, distance-preserving hashes tend to be less accurate but arecomputationally less expensive. One example of a distance-preservinghash may include but is not limited to a CRC (i.e., a cyclic redundancycheck). Accordingly, while matching cryptographic hashes indicate thattwo pieces of content are identical, matching distance-preserving hashesonly indicate that two pieces of content may be identical.

As discussed above and when identifying 300 a potential deduplicationcandidate (e.g., content 106) and a related deduplication target (e.g.,deduplication target 216), storage management process 10 may determine302 that a distance-preserving hash of the potential deduplicationcandidate (e.g., content 106) and a distance-preserving hash of therelated deduplication target (e.g., deduplication target 216) indicatethat the potential deduplication candidate (e.g., content 106) and arelated deduplication target (e.g., deduplication target 216) arepotentially identical.

Accordingly, assume that stored hashes 120 are distance-preservinghashes that were generated for content that was stored on storageplatform 102 (e.g., stored content 124). And upon the potentialdeduplication candidate (e.g., content 106) being received by storagesystem 12, a distance-preserving hash (e.g., new hash 122) was generatedand compared to each of stored hashes 120. Assume that new hash 122matches hash 126 (included within stored hashes 120). Further, assumethat hash 126 is a mathematical representation of the relateddeduplication target (e.g., deduplication target 216) included withinstored content 124.

Accordingly, storage management process 10 may execute 304 a comparisonoperation with respect to the potential deduplication candidate (e.g.,content 106) and the related deduplication target (e.g., deduplicationtarget 216) to generate a comparison result (e.g., comparison result128).

While the following discussion concerns the comparison operationexecuted 304 by storage management process 10 being an XOR operation,this is for illustrative purposes only and is not intended to be alimitation of this disclosure, as other configurations are possible andare considered to be within the scope of this disclosure. For example,such a comparison operation may be effectuated by calculating abyte-wise duff using various algorithms (e.g., xdelta and zdelta). Theoutput of these algorithms may be used to reconstruct the candidate inthe future relative to the target, and the size of the output maydirectly be used as a measure of similarity (like counting the number of0s in an XOR output), This delta representation may be smaller or largerthan the compressed XOR representation (depending upon data properties).

When executing 304 a comparison operation with respect to the potentialdeduplication candidate (e.g., content 106) and the relateddeduplication target (e.g., deduplication target 216) to generate acomparison result (e.g., comparison result 128), storage managementprocess 10 may execute 306 an XOR operation with respect to thepotential deduplication candidate (e.g., content 106) and the relateddeduplication target (e.g., deduplication target 216) to generate thecomparison result (e.g., comparison result 128). For example, storagemanagement process 10 may retrieve deduplication target 216 from storageplatform 216 and execute 306 an XOR operation with respect to content106 and deduplication target 216 to generate comparison result 128.These XOR operations may be executed quite quickly and efficiently dueto the parallelism capabilities of modern microprocessors.

As is known in the art, an XOR operation (i.e., an Exclusive ORoperation) is a logical operator that results is a true (i.e., abinary 1) when either of the operands are true (i.e., one is true andthe other one is false) but results in a false (i.e., a binary 0) whenboth of the operands are true or both of the operands are false.Accordingly and when using an XOR operation to determine differencesbetween the potential deduplication candidate (e.g., content 106) andthe related deduplication target (e.g., deduplication target 216), thelevel of difference between content 106 and deduplication target 216 maybe gauged by determining the number of binary 0s included withincomparison result 128.

Accordingly, storage management process 10 may determine 308 a level ofsimilarity between the potential deduplication candidate (e.g., content106) and the related deduplication target (e.g., deduplication target216) by processing the comparison result (e.g., comparison result 128).When processing the comparison result (e.g., comparison result 128),storage management process 10 may determine how many binary 0s are inthe comparison result (e.g., comparison result 128).

For example, if there are zero binary 1s and all binary 0s withincomparison result 128, the potential deduplication candidate (e.g.,content 106) and the related deduplication target (e.g., deduplicationtarget 216) are identical. If there are e.g., 1-32 binary 1s withincomparison result 128 (and the rest are binary 0s), the potentialdeduplication candidate (e.g., content 106) and the relateddeduplication target (e.g., deduplication target 216) may be consideredquite similar; while if there are e.g., >32 binary 1s within comparisonresult 128 (and the rest are binary 0s), the potential deduplicationcandidate (e.g., content 106) and the related deduplication target(e.g., deduplication target 216) may be considered quite dissimilar

If the level of similarity between the potential deduplication candidate(e.g., content 106) and the related deduplication target e.g.,deduplication target 216) is sufficiently high (e.g., quite similar),storage management process 10 may store 310 the comparison result (e.g.,comparison result 128) to enable subsequent reconstruction of thepotential deduplication candidate (e.g., content 106) via the comparisonresult (e.g., comparison result 128) and the related deduplicationtarget (e.g., deduplication target 216). Accordingly, and in such asituation, the storage of the potential deduplication candidate (e.g.,content 106) is not needed as the potential deduplication candidate(e.g., content 106) may be reconstructed from the comparison result(e.g., comparison result 128) that was stored 310 as described above)and deduplication target 216 (which was previously stored).

When storing 310 the comparison result (e.g., comparison result 128) toenable subsequent reconstruction of the potential deduplicationcandidate (e.g., content 106) via the comparison result (e.g.,comparison result 128) and the related deduplication target (e.g.,deduplication target 216), storage management process 10 may compress312 the comparison result (e.g., comparison result 128). For example,and in situations where the level of similarity between the potentialdeduplication candidate (e.g., content 106) and the relateddeduplication target (e.g., deduplication target 216) is sufficientlyhigh (e.g., quite similar), comparison result 128 may include a largequantity of binary 0s (for the reasons discussed above). Accordingly,and in such a situation, comparison result 128 may be highlycompressible.

If/when the potential deduplication candidate (e.g., content 106) isneeded (due to receiving a read request concerning the same), storagemanagement process 10 may reconstruct 314 the potential deduplicationcandidate (e.g., content 106) by executing an XOR operation with respectto the comparison result (e.g., comparison result 128) and the relateddeduplication target (e.g., deduplication target 216).

As discussed above, storage management process 10 may compress 312comparison result 128 prior to storing it within storage platform 102.Accordingly and when reconstructing 314 the potential deduplicationcandidate (e.g., content 106) by executing an XOR operation with respectto the comparison result (e.g., comparison result 128) and the relateddeduplication target (e.g., deduplication target 216), storagemanagement process 10 may first need to decompress 316 the comparisonresult (e.g., comparison result 128) prior to reconstructing 314 thepotential deduplication candidate (e.g., content 106).

As will be discussed below in greater detail, storage management process10 may be configured to utilize an average sector-level entropy todetermine the compressibility of a data portion.

As discussed above, content 106 may be a four kilobyte (4,096 byte)block that includes eight 512 byte sectors (e.g., sectors 200, 202, 204,206, 208, 210, 212, 214). Assume for the following example that storagemanagement process 10 would like to determine the compressibility ofcontent 106.

Referring also to FIG. 5, storage management process 10 may process 400a data portion (e.g., content 106) to divide the data portion (e.g.,content 106) into a plurality of data chunks (e.g., sectors 200, 202,204, 206, 208, 210, 212, 214). Storage management process 10 may perform402 an entropy analysis on each of the plurality of data chunks (e.g.,sectors 200, 202, 204, 206, 208, 210, 212, 214) to generate a pluralityof data chunk entropies (e.g., entropies 130). Storage managementprocess 10 may then determine 404 an average data chunk entropy (e.g.,average entropy 132) from the plurality of data chunk entropies (e.g.,entropies 130). Mathematically, this average data chunk entropy (e.g.,average entropy 132) may be less than or equal to the entropy of thedata portion (e.g., content 106). However, and due to the parallelism ofmodern microprocessors, the plurality of data chunk entropies (e.g.,entropies 130) may be calculated more quickly and efficiently than theentropy of the data portion (e.g., content 106).

Entropy may function as a gauge that enables storage management process10 to determine the compressibility of content 106. Accordingly, andwhen entropy is higher, the data may be less compressible, as entropy isindicative of randomness (which is not conducive to compression).Conversely, when entropy is lower, the data may be more compressible, aslow randomness may be indicative of recurring bit patterns (which arecompressible).

The most popular way to measure digital entropy in data is via Shannon'sFormula, which generates a result on the scale of 0 (i.e., very lowentropy) to 8 (i.e., very high entropy). The Shannon entropy equationmay provide a way to estimate the average minimum number of bits neededto encode a string of symbols, based on the frequency of the symbols.

${H(X)} = {- {\sum\limits_{i = 0}^{N - 1}{p_{i}\log_{2}p_{i}}}}$

In the Shannon entropy equation, p_(i) is the probability of a givensymbol. To calculate log₂ from another log base (e.g., log₁₀ orlog_(e)):

${\log_{2}(n)} = \frac{\log_{b}(n)}{\log_{b}(2)}$

The minimum average number of bits is per symbol:numBits=┌H(X)┐

So if you have a symbol set {A, B, C, D, E} where the symbol occurrencefrequencies are:A=0.5B=0.2C=0.1D=0.1E=0.1

The average minimum number of bits needed to represent a symbol is asfollows:H(X)=[(0.5 log₂0.5+0.2 log₂0.2+0.1 log₂0.1)*3)](X)=[−0.5+(−0.46438)+(−0.9965)]H(X)=−[−1.9]H(X)=1.9

Rounding up, we get 2 bits/per symbol. Therefore, representing a tencharacter string (e.g., AAAAABBCDE) would require 20 bits if the stringwas encoded optimally. Such an optimal encoding would allocate shorterbit sequences for the frequently occurring symbols (e.g., symbols A, B)and longer bit sequences for the infrequently occurring symbols (e.g.,symbols C, D, E).

Storage management process 10 may compare 406 the average data chunkentropy (e.g., average entropy 132) to a predefined entropy threshold todetermine whether the data portion (e.g., content 106) should becompressed. As discussed above, storage management process 10 maydetermine 404 an average data chunk entropy (e.g., average entropy 132)from the plurality of data chunk entropies (e.g., entropies 130),wherein this average data chunk entropy (e.g., average entropy 132) maybe in the range of 0-8. For example, it may be desirable to compress thedata portion (e.g., content 106) if the average data chunk entropy(e.g., average entropy 132) is less than 2 (on the 0-8 scale).Accordingly, storage management process 10 may compress 408 the dataportion (e.g., content 106) if the average data chunk entropy (e.g.,average entropy 132) is less than the predefined entropy threshold(e.g., 2 on the 0-8 scale).

As will be discussed below in greater detail, storage management process10 may be configured to utilize hash entropy of a chunk to determine thecompressibility of a data portion.

Referring also to FIG. 6, storage management process 10 may receive 500a candidate data portion (e.g., content 106) and may calculate 502 adistance-preserving hash (e.g., new hash 122) for the candidate dataportion (e.g., content 106). As discussed above, one example ofdistance-preserving hash (e.g., new hash 122) is a CRC (i.e., cyclicredundancy check), Once calculated 502, storage management process 10may perform 504 an entropy analysis on the distance-preserving hash(e.g., new hash 122) to generate a hash entropy (e.g., hash entropy 134)for the candidate data portion (e.g., content 106).

As discussed above, entropy may function as a gauge that enables storagemanagement process 10 to determine the compressibility of content 106,wherein: higher entropy is indicative of the data being lesscompressible and lower entropy is indicative of the data may be morecompressible. As further discussed, the most popular way to measureentropy in data is via Shannon's Formula, which generates a result onthe scale of 0 (i.e., very low entropy) to 8 (i.e., very high entropy).

Storage management process 10 may compare 506 the hash entropy (e.g.,hash entropy 134) for the candidate data portion (e.g., content 106) toa predefined hash entropy threshold. This predefined hash entropythreshold may be configured such that:

-   -   a data compression operation will yield a more efficient result        than a deduplication operation when the candidate data portion        has a hash entropy that adheres to (i.e., is at or below) the        hash entropy threshold; and    -   a deduplication operation will yield a more efficient result        than a data compression operation when the candidate data        portion has a hash entropy above the hash entropy threshold.

If the hash entropy (e.g., hash entropy 134) for the candidate dataportion (e.g., content 106) adheres to (i.e., is at or below) thepredefined hash entropy threshold, storage management process 10 maycompress 508 the candidate data portion (e.g., content 106). Forexample, if the hash entropy (e.g., hash entropy 134) for the candidatedata portion (e.g., content 106) is 2.0 and the predefined hash entropythreshold is 3.0, storage management process 10 may compress 508 thecandidate data portion (e.g.; content 106).

However, if the hash entropy (e.g., hash entropy 134) for the candidatedata portion (e.g., content 106) exceeds the predefined hash entropythreshold, storage management process 10 may compare 510 the hashentropy (e.g., hash entropy 134) for the candidate data portion (e.g.,content 106) to one or more target data portion hash entropies toidentify one or more potential target data portions. For example, assumethat the hash entropy (e.g., hash entropy 134) for the candidate dataportion (e.g., content 106) is 4.0, thus exceeding the predefined hashentropy threshold of 3.0. Accordingly, storage management process 10 maycompare 510 the hash entropy (e.g., hash entropy 134) for the candidatedata portion (e.g., content 106) to one or more target data portion hashentropies (e.g., target data portion hash entropies 136) to identify oneor more potential target data portions.

For example, and as discussed above, when content is being processed bystorage system 12, a hash operation may be performed on all of thecontent received/generated to produce a mathematical representation ofthe content (e.g., in the form of stored hashes 120) before the contentis stored within storage platform 102. Accordingly, storage managementprocess 10 may process stored hashes 120 to generate target data portionhash entropies 136. Once target data portion hash entropies 136 aregenerated, storage management process 10 may compare hash entropy 134for the candidate data portion (e.g., content 106) to target dataportion hash entropies 136 to identify the one or more potential targetdata portions.

Specifically, when identifying one or more potential target dataportions, storage management process 10 may identify target dataportions that have hashes entropies similar to the hash entropy (e.g.,hash entropy 134) for the candidate data portion (e.g., content 106).For example, if the hash entropy (e.g., hash entropy 134) for thecandidate data portion (e.g., content 106) is 4.0, storage managementprocess 10 may identify one or more target hash entropies (e.g., targethash entropy 138) within target data portion hash entropies 136 thathave a similar value (e.g., 3.9-4.1).

Once these similar target hash entropies (e.g., target hash entropies138) are identified, the potential target data portions may beidentified by: associating target hash entropies 138 with specifichashes included within stored hashes 120; and associating these specifichashes included within stored hashes 120 with specific pieces of content(e.g., potential target data portions 140) included within storedcontent 124.

Upon identifying potential target data portions 140, storage managementprocess 10 may retrieve potential target data portions 140 from storageplatform 102. Once retrieved, storage management process 10 may perform512 a comparison analysis on the potential target data portions 140,with respect to the candidate data portion (e.g., content 106), toidentify an acceptable target data portion (e.g., acceptable target dataportion 142), For example, storage management process 10 may execute anXOR operation with respect to the candidate data portion (e.g., content106) and each of potential target data portions 140 to generatecomparison result 128, which may identify acceptable target data portion142. As discussed above, these XOR operations may be executed quitequickly and efficiently due to the parallelism capabilities of modernmicroprocessors.

Once acceptable target data portion 142 has been identified, storagemanagement process 10 may perform 514 a deduplication operation of thecandidate data portion (e.g., content 106) based upon the acceptabletarget data portion 142. For example, storage management process 10 maystore the comparison result (e.g., comparison result 128) to enablesubsequent reconstruction of the candidate data portion (e.g., content106) via the comparison result (e.g., comparison result 128) andacceptable target data portion 142. Accordingly, and in such asituation, the storage of the candidate data portion (e.g., content 106)is not needed, as content 106 may be reconstructed from comparisonresult 128 and acceptable target data portion 142.

As will be discussed below in greater detail, storage management process10 may be configured to utilize distance measurements with respect tosymbol-based encoding to determine to determine the compressibility of adata portion.

Referring also to FIG. 7, storage management process 10 may encode 600 acandidate data portion (e.g., content 106) to generate an encodedcandidate data portion (e.g., encoded candidate data portion 106′). Whenencoding 600 a candidate data portion (e.g., content 106) to generate anencoded candidate data portion (e.g., encoded candidate data portion106′), storage management process 10 may encode 602 the candidate dataportion (e.g., content 106) to generate the encoded candidate dataportion (e.g., encoded candidate data portion 106′) usingLempel-Ziv-Welch encoding.

Lempel-Ziv-Welch (LZW) encoding is a universal lossless data compressionalgorithm created by Abraham Lempel, Jacob Ziv, and Terry Welch. It waspublished by Welch in 1984 as an improved implementation of the LZ78algorithm published by Lempel and Ziv in 1978. The algorithm is simpleto implement and has the potential for very high throughput in hardwareimplementations. It is the algorithm of the widely used Unix filecompression utility and is used in the GIF image format.

For the following example, assume that the candidate data portion (e.g.,content 106) is the binary string shown below:

10100 01111 00010 00101 01111 10010 01110 01111 10100 10100 01111 0001000101 01111 10010 10100 01111 00010 00101 01111 10010 01110 01111 10100

At this point, the candidate data portion (e.g., content 106) asrepresented by the above-shown binary string is in an unencoded anduncompressed state. The following key may be used to symbol encode theabove-shown binary string.

Symbol Binary Decimal # 00000 0 A 00001 1 B 00010 2 C 00011 3 D 00100 4E 00101 5 F 00110 6 G 00111 7 H 01000 8 I 01001 9 J 01010 10 K 01011 11L 01100 12 M 01101 13 N 01110 14 O 01111 15 P 10000 16 Q 10001 17 R10010 18 S 10011 19 T 10100 20 U 10101 21 V 10110 22 W 10111 23 X 1100024 Y 11001 25 Z 11010 26

Storage management process 10 may encode 600 the candidate data portion(e.g., content 106) using the above-shown key to generate the encodedcandidate data portion (e.g., encoded candidate data portion 106′) shownbelow:

T O B E O R N O T T O B E O R T O B E O R N O T

At this point, the encoded candidate data portion (e.g., encodedcandidate data portion 106′) as represented by the above-shown symbolstring is in an encoded but uncompressed state.

Encoded candidate data portion 106′ written as a single text string mayappear as follows:

-   -   TOBEORNOTTOBEORTOBEORNOT    -   encoded candidate data portion 106′ (uncompressed)

Encoded candidate data portion 106′ broken into an encoding word stringmay appear as follows:

-   -   TO BE OR NOT TO BE OR TO BE OR NOT    -   encoded candidate data portion 106′ (uncompressed but broken        into encoding words)

Storage management process 10 may identify 604 one or more portionsimilarities between the encoded candidate data portion (e.g., encodedcandidate data portion 106′) and an encoded target data portion toposition the one or more portion similarities with respect to theencoded target data portion, thus generating one or more portionsimilarity measurements. For this example, assume that storagemanagement process 10 encodes (in the above-described fashion) some orall of stored content 124 to generate encoded content 144. Therefore,storage management process 10 may identify 604 one or more portionsimilarities between the encoded candidate data portion (e.g., encodedcandidate data portion 106′) and an encoded target data portion (e.g.,encoded content 144) to position the one or more portion similaritieswith respect to the encoded target data portion (e.g., encoded content144), thus generating one or more portion similarity measurements.

Further, storage management process 10 may identify 606 one or moreportion differences between the encoded candidate data portion (e.g.,encoded candidate data portion 106′) and the encoded target data portion(e.g., encoded content 144) to generate one or more portion differencemeasurements.

As discussed above, encoded candidate data portion 106′ written as asingle text string may appear as follows:

-   -   TOBE OR NOTTOBEORTOBEOR NOT    -   encoded candidate data portion 106′ (divided into substrings)

Assume for illustrative purposes that the encoded target data portionencoded content 144) includes a single encoded piece of content asfollows:

-   -   NOTTOBEORTOBEORTOBEFORTO    -   encoded content 144

Accordingly and when storage management process 10 identifies 604 one ormore portion similarities between the encoded candidate data portionencoded candidate data portion 106′) and the encoded target data portion(e.g., encoded content 144) to position the one or more portionsimilarities with respect to the encoded target data portion encodedcontent 144), the following procedure may be utilized:

-   -   Locate the first substring “TOBE” within encoded candidate data        portion 106′.    -   Determine a beginning offset that locates the same substring        within encoded content 144: (Answer: 15 . . . the length of        NOTTOBEORTOBEOR)    -   Locate for next substring “OR” within encoded candidate data        portion 106′.    -   Determine a beginning offset that locates the same substring        within encoded content 144: (Answer: 7 . . . the length of        NOTTOBE)    -   Locate for next substring “NOTTOBEORTOBEOR” within encoded        candidate data portion 106′    -   Determine a beginning offset that locates the same substring        within encoded content 144: (Answer: 0 . . . as it is at the        beginning)

When identifying 606 one or more portion differences between the encodedcandidate data portion (e.g., encoded candidate data portion 106′) andthe encoded target data portion (e.g., encoded content 144) to generateone or more portion difference measurements, storage management process10 may identify 608 one or more target portion differences between theencoded candidate data portion (e.g., encoded candidate data portion106′) and the encoded target data portion (e.g., encoded content 144) toposition the one or more target portion differences with respect to theencoded target data portion (e.g., encoded content 144), thus generatingone or more target portion difference measurements.

Further and when storage management process 10 identifies 608 one ormore target portion differences between the encoded candidate dataportion (e.g., encoded candidate data portion 106′) and the encodedtarget data portion (e.g., encoded content 144), the following proceduremay be utilized:

-   -   Identify “F” as a substring that appears exclusively in the        encoded target data portion (e.g., encoded content 144).    -   Determine an ending offset that locates the same substring        within encoded content 144: (Answer: 5 . . . the length of        FORTO).

When identifying 606 one or more portion differences between the encodedcandidate data portion (e.g., encoded candidate data portion 106′) andthe encoded target data portion (e.g., encoded content 144) to generateone or more portion difference measurements, storage management process10 may identify 610 one or more candidate portion differences betweenthe encoded candidate data portion (e.g., encoded candidate data portion106′) and the encoded target data portion (e.g., encoded content 144) toposition the one or more candidate portion differences with respect tothe encoded candidate data portion (e.g., encoded candidate data portion106′), thus generating one or more candidate portion differencemeasurements.

Further and when storage management process 10 identifies 610 one ormore candidate portion differences between the encoded candidate dataportion (e.g., encoded candidate data portion 106′) and the encodedtarget data portion (e.g., encoded content 144), the following proceduremay be utilized:

-   -   Identify “NOT” as a substring that appears exclusively in the        encoded candidate data portion (e.g., encoded candidate data        portion 106′).    -   Determine an ending offset that locates the same substring        within encoded candidate data portion 106′: (Answer: 3 . . . the        length of NOT)

Storage management process 10 may combine 612 the one or more portionsimilarity measurements (e.g., 15, 7 & 0) and the one or more portiondifference measurements (e.g., 5 & 3) to generate a candidate similaritymeasurement (e.g., similarity measurement 146) for the candidate dataportion (e.g., content 106).

When combining 612 the one or more portion similarity measurements(e.g., 15, 7 & 0) and the one or more portion difference measurements(e.g., 5 & 3) to generate a candidate similarity measurement (e.g.,similarity measurement 146) for the candidate data portion (e.g.,content 106), storage management process 10 may combine 614 the one ormore portion similarity measurements (e.g., 15, 7 & 0), the one or moretarget portion difference measurements (e.g., 5), and the one or morecandidate portion difference measurements (e.g., 3) to generate thecandidate similarity measurement (e.g., similarity measurement 146) forthe candidate data portion (e.g., content 106).

When combining 614 the one or more portion similarity measurements(e.g., 15, 7 & 0), the one or more target portion differencemeasurements (e.g., 5), and the one or more candidate portion differencemeasurements (e.g., 3) to generate the candidate similarity measurement(e.g., similarity measurement 146) for the candidate data portion (e.g.,content 106), storage management process 10 may:

-   -   add 616 the one or more portion similarity measurements (e.g.,        15, 7 & 0) to the candidate similarity measurement (e.g.,        similarity measurement 146);    -   subtract 618 the one or more target portion difference        measurements (e.g., 5) from the candidate similarity measurement        (e.g., similarity measurement 146); and    -   subtract 620 the one or more candidate portion difference        measurements (e.g., 3) from the candidate similarity measurement        (e.g., similarity measurement 146).

Accordingly and when storage management process 10 combines 612 the oneor more portion similarity measurements (e.g., 15, 7 & 0) and the one ormore portion difference measurements (e.g., 5 & 3) to generate acandidate similarity measurement (e.g., similarity measurement 146) forthe candidate data portion (e.g., content 106), storage managementprocess 10 may determine that the candidate similarity measurement(e.g.; similarity measurement 146) is 14 (i.e., 15+7+0−5−3).

Storage management process 10 may compare 624 the candidate similaritymeasurement (e.g., similarity measurement 146) to a candidate similaritythreshold to determine whether the candidate data portion (e.g., content106) should be compressed. if the candidate similarity measurement(e.g., similarity measurement 146) is less than the candidate similaritythreshold, storage management process 10 may perform 626 symbol-baseddeduplication of the encoded candidate data portion (e.g., encodedcandidate data portion 106′) to effectuate additional compression.

For example, if the candidate similarity threshold is 20 and similaritymeasurement 146 is 14, storage management process 10 may perform 626symbol-based deduplication of the encoded candidate data portion (e.g.,encoded candidate data portion 106′) to effectuate additionalcompression, resulting in encoded candidate data portion 106′ beingcompressed from:

-   -   TOBEORNOTTOBEORTOBEORNOT    -   encoded candidate data portion 106′ (uncompressed)

to:

-   -   3TO 3BE 3OR 2NOT    -   encoded candidate data portion 106′ (compressed)

Thus resulting in encoded candidate data portion 106′ being reduced fromtwenty-four characters to thirteen characters.

As will be discussed below in greater detail, storage management process10 may be configured to utilize entropy analysis to identify sectoroffsets between deduplication candidates and deduplication targets.

For various reasons, the sectors within blocks may becomeshifted/misaligned. For example and referring also to FIG. 8, assumethat data 700 is a series of four kilobyte (4,096 byte) blocks that eachinclude eight 512 byte sector (e.g., sectors 702, 704, 706, 708, 710,712, 714, 716). Assume that data 700 represents a portion of an olderversion of word processing file 718 that was previously stored onstorage platform 102. Further assume that data 720 is also a series offour kilobyte (4,096 byte) blocks that each include eight 512 bytesectors (e.g., sectors 722, 724, 726, 728, 730, 732, 734, 736). However,data 720 represents a portion of a newer version of word processing file718 that is going to be stored on storage platform 102.

Assume that sector 702 (within data 700) and sector 726 (within data720) represent the same first paragraph of word processing document 718.However, sector 726 (within data 720) is shifted by two sectors (e.g.,sectors 722, 724) with respect to sector 702 due to e.g., the insertionof header information 738 (which is represented by sectors 722, 724)into word processing document 718. Accordingly, and when performingdeduplication (in the manner described above), it may be beneficial forstorage management process 10 to be aware of this offset/shift.

Accordingly, and referring also to FIG. 9, storage management process 10may perform 800 an entropy analysis on each of a plurality of candidatedata chunks (e.g., sectors 722, 724, 726, 728, 730, 732, 734, 736)associated with a potential candidate (e.g., data 720) to generate aplurality of candidate data chunk entropies (e.g., candidate data chunkentropies 740). Further, storage management process 10 may perform 802an entropy analysis on each of a plurality of target data chunks (e.g.,sectors 702, 704, 706, 708, 710, 712, 714, 716) associated with apotential target (e.g., data 700) to generate a plurality of target datachunk entropies (e.g., target data chunk entropies 742).

As discussed above, the most popular way to measure digital entropy indata is via Shannon's Formula, which generates a result on the scale of0 (i.e., very low entropy) to 8 (i.e., very high entropy), wherein theShannon entropy equation may provide a way to estimate the averageminimum number of bits needed to encode a string of symbols, based onthe frequency of the symbols. Accordingly, the Shannon entropy equationmay be utilized to generate candidate data chunk entropies 740 andtarget data chunk entropies 742.

Once candidate data chunk entropies 740 and target data chunk entropies742 are generated, storage management process 10 may identify 804 acandidate data chunk entropy limit (e.g., candidate data chunk entropylimit 744), chosen from the plurality of candidate data chunk entropies(e.g., candidate data chunk entropies 740), and a target data chunkentropy limit (e.g., target data chunk entropy limit 746), chosen fromthe plurality of target data chunk entropies (e.g., target data chunkentropies 742).

The candidate data chunk entropy limit (e.g., candidate data chunkentropy limit 744) and the target data chunk entropy limit (e.g., targetdata chunk entropy limit 746) may include one or more of: a candidatedata chunk entropy minimum and a target data chunk entropy minimum (asshown in FIG. 8); and a candidate data chunk entropy maximum and atarget data chunk entropy maximum.

As sector 702 (within data 700) and sector 726 (within data 720) havesimilar/identical data chunk entropy limits (both having an entropy of1.6), sector 702 and sector 726 may be identical. Accordingly, storagemanagement process 10 may compare 806 a specific candidate data chunk(e.g., sector 726) associated with candidate data chunk entropy limit744 to a specific target data chunk (e.g., sector 702) associated withtarget data chunk entropy limit 746 to determine if the specificcandidate data chunk (e.g., sector 726) and the specific target datachunk (e.g., sector 702) are identical.

When comparing 806 a specific candidate data chunk (e.g., sector 726)associated with candidate data chunk entropy limit 744 to a specifictarget data chunk (e.g., sector 702) associated with target data chunkentropy limit 746 to determine if the specific candidate data chunk(e.g., sector 726) and the specific target data chunk (e.g., sector 702)are identical, storage management process 10 may:

-   -   execute 808 an XOR operation with respect to the specific        candidate data chunk (e.g., sector 726) and the specific target        data chunk (e.g., sector 702) to generate an XOR result (e.g.,        XOR result 748); and    -   process 810 the XOR result (e.g., XOR result 748) to determine        if the specific candidate data chunk (e.g., sector 726) and the        specific target data chunk (e.g., sector 702) are identical.

As is known in the art, an XOR operation (i.e., an Exclusive ORoperation) is a logical operator that results is a true (i.e., abinary 1) when either of the operands are true (i.e., one is true andthe other one is false) but results in a false (i.e., a binary 0) whenboth of the operands are true or both of the operands are false.Accordingly, and when using an XOR operation to determine if thespecific candidate data chunk (e.g., sector 726) and the specific targetdata chunk (e.g., sector 702) are identical, the level of difference maybe gauged by determining the number of binary 0s included within XORresult 748.

If storage management process 10 determines that the specific candidatedata chunk (e.g., sector 726) and the specific target data chunk (e.g.,sector 702) are identical, storage management process 10 may determine812 a chunk offset between the specific candidate data chunk (e.g.,sector 726) and the specific target data chunk (e.g., sector 702). Forthis example, the chunk offset is two sectors (e.g., sectors 722, 724).

If storage management process 10 determines that the specific candidatedata chunk (e.g., sector 726) and the specific target data chunk (e.g.,sector 702) are not identical, storage management process 10 mayidentify 814 an additional deduplication target for processing if thespecific candidate data chunk (e.g., sector 726) and the specific targetdata chunk (e.g., sector 702) are not identical. For example, storagemanagement process 10 may perform an entropy analysis on a new group ofsectors (e.g., plurality of sectors 750) of data 720.

General:

As will be appreciated by one skilled in the art, the present disclosuremay be embodied as a method, a system, or a computer program product.Accordingly, the present disclosure may take the form of an entirelyhardware embodiment, an entirely software embodiment (includingfirmware, resident software, micro-code, etc.) or an embodimentcombining software and hardware aspects that may all generally bereferred to herein as a “circuit,” “module” or “system.” Furthermore,the present disclosure may take the form of a computer program producton a computer-usable storage medium having computer-usable program codeembodied in the medium.

Any suitable computer usable or computer readable medium may beutilized. The computer-usable or computer-readable medium may be, forexample but not limited to, an electronic, magnetic, optical,electromagnetic, infrared, or semiconductor system, apparatus, device,or propagation medium. More specific examples non-exhaustive list) thecomputer-readable medium may include the following: an electricalconnection having one or more wires, a portable computer diskette, ahard disk, a random access memory (RAM), a read-only memory (ROM), anerasable programmable read-only memory (EPROM or Flash memory), anoptical fiber, a portable compact disc read-only memory (CD-ROM), anoptical storage device, a transmission media such as those supportingthe Internet or an intranet, or a magnetic storage device. Thecomputer-usable or computer-readable medium may also be paper or anothersuitable medium upon which the program is printed, as the program can beelectronically captured, via, for instance, optical scanning of thepaper or other medium, then compiled, interpreted, or otherwiseprocessed in a suitable manner, if necessary, and then stored in acomputer memory. In the context of this document, a computer-usable orcomputer-readable medium may be any medium that can contain, store,communicate, propagate, or transport the program for use by or inconnection with the instruction execution system; apparatus, or device.The computer-usable medium may include a propagated data signal with thecomputer-usable program code embodied therewith, either in baseband oras part of a carrier wave. The computer usable program code may betransmitted using any appropriate medium, including but not limited tothe Internet, wireline, optical fiber cable, RF, etc.

Computer program code for carrying out operations of the presentdisclosure may be written in an object oriented programming languagesuch as Java, Smalltalk, C++ or the like. However, the computer programcode for carrying out operations of the present disclosure may also bewritten in conventional procedural programming languages, such as the“C” programming language or similar programming languages. The programcode may execute entirely on the user's computer, partly on the user'scomputer, as a stand-alone software package, partly on the user'scomputer and partly on a remote computer or entirely on the remotecomputer or server. In the latter scenario, the remote computer may beconnected to the user's computer through a local area network/a widearea network/the Internet (e.g., network 14).

The present disclosure is described with reference to flowchartillustrations and/or block diagrams of methods, apparatus (systems) andcomputer program products according to embodiments of the disclosure. Itwill be understood that each block of the flowchart illustrations and/orblock diagrams, and combinations of blocks in the flowchartillustrations and/or block diagrams, may be implemented by computerprogram instructions. These computer program instructions may beprovided to a processor of a general purpose computer/special purposecomputer/other programmable data processing apparatus, such that theinstructions, which execute via the processor of the computer or otherprogrammable data processing apparatus, create means for implementingthe functions/acts specified in the flowchart and/or block diagram blockor blocks.

These computer program instructions may also be stored in acomputer-readable memory that may direct a computer or otherprogrammable data processing apparatus to function in a particularmanner, such that the instructions stored in the computer-readablememory produce an article of manufacture including instruction meanswhich implement the function/act specified in the flowchart and/or blockdiagram block or blocks.

The computer program instructions may also be loaded onto a computer orother programmable data processing apparatus to cause a series ofoperational steps to be performed on the computer or other programmableapparatus to produce a computer implemented process such that theinstructions which execute on the computer or other programmableapparatus provide steps for implementing the functions/acts specified inthe flowchart and/or block diagram block or blocks.

The flowcharts and block diagrams in the figures may illustrate thearchitecture, functionality, and operation of possible implementationsof systems, methods and computer program products according to variousembodiments of the present disclosure. In this regard, each block in theflowchart or block diagrams may represent a module, segment, or portionof code, which comprises one or more executable instructions forimplementing the specified logical function(s). It should also be notedthat, in some alternative implementations, the functions noted in theblock may occur out of the order noted in the figures. For example, twoblocks shown in succession may, in fact, be executed substantiallyconcurrently, or the blocks may sometimes be executed in the reverseorder, depending upon the functionality involved. It will also be notedthat each block of the block diagrams and/or flowchart illustrations,and combinations of blocks in the block diagrams and/or flowchartillustrations, may be implemented by special purpose hardware-basedsystems that perform the specified functions or acts, or combinations ofspecial purpose hardware and computer instructions.

The terminology used herein is for the purpose of describing particularembodiments only and is not intended to be limiting of the disclosure.As used herein, the singular forms “a”, “an” and “the” are intended toinclude the plural forms as well, unless the context clearly indicatesotherwise. It will be further understood that the terms “comprises”and/or “comprising,” when used in this specification, specify thepresence of stated features, integers, steps, operations, elements,and/or components, but do not preclude the presence or addition of oneor more other features, integers, steps, operations, elements,components, and/or groups thereof.

The corresponding structures, materials, acts, and equivalents of allmeans or step plus function elements in the claims below are intended toinclude any structure, material, or act for performing the function incombination with other claimed elements as specifically claimed. Thedescription of the present disclosure has been presented for purposes ofillustration and description, but is not intended to be exhaustive orlimited to the disclosure in the form disclosed. Many modifications andvariations will be apparent to those of ordinary skill in the artwithout departing from the scope and spirit of the disclosure. Theembodiment was chosen and described in order to best explain theprinciples of the disclosure and the practical application, and toenable others of ordinary skill in the art to understand the disclosurefor various embodiments with various modifications as are suited to theparticular use contemplated.

A number of implementations have been described. Having thus describedthe disclosure of the present application in detail and by reference toembodiments thereof, it will be apparent that modifications andvariations are possible without departing from the scope of thedisclosure defined in the appended claims.

What is claimed is:
 1. A computer-implemented method, executed on acomputing device, comprising: receiving a candidate data portion;calculating a distance-preserving hash for the candidate data portion;performing an entropy analysis on the distance-preserving hash togenerate a hash entropy for the candidate data portion; and comparingthe hash entropy for the candidate data portion to a predefined hashentropy threshold, wherein if the hash entropy for the candidate dataportion exceeds the predefined hash entropy threshold, comparing thehash entropy for the candidate data portion to one or more target dataportion hash entropies to identify one or more potential target dataportions and wherein if the hash entropy for the candidate data portiondoes not exceed the predefined hash entropy threshold, compressing thecandidate data portion, wherein the predefined hash entropy threshold isconfigured such that: a data compression operation will yield a moreefficient result than a deduplication operation when the candidate dataportion has a hash entropy that adheres to the hash entropy threshold;and a deduplication operation will yield a more efficient result than adata compression operation when the candidate data portion has a hashentropy above the hash entropy threshold.
 2. The computer-implementedmethod of claim 1 further comprising: if the hash entropy for thecandidate data portion adheres to the predefined hash entropy threshold,compressing the candidate data portion.
 3. The computer-implementedmethod of claim 1 further comprising: performing a comparison analysison the one or more potential target data portions, with respect to thecandidate data portion, to identify an acceptable target data portion.4. The computer-implemented method of claim 3 further comprising:performing a deduplication operation of the candidate data portion basedupon the acceptable target data portion.
 5. The computer-implementedmethod of claim 1, wherein the distance-preserving hash includes acyclic redundancy check.
 6. A computer program product residing on anon-transitory computer readable medium having a plurality ofinstructions stored thereon which, when executed by a processor, causethe processor to perform operations comprising: receiving a candidatedata portion; calculating a distance-preserving hash for the candidatedata portion; performing an entropy analysis on the distance-preservinghash to generate a hash entropy for the candidate data portion; andcomparing the hash entropy for the candidate data portion to apredefined hash entropy threshold, wherein if the hash entropy for thecandidate data portion exceeds the predefined hash entropy threshold,comparing the hash entropy for the candidate data portion to one or moretarget data portion hash entropies to identify one or more potentialtarget data portions, and wherein hash entropies to identify one or morepotential target data portions, and wherein if the hash entropy for thecandidate data portion does not exceed the predefined has entropythreshold, compressing the candidate data portion, wherein thepredefined hash entropy threshold is configured such that: a datacompression operation will yield a more efficient result than adeduplication operation when the candidate data portion has a hashentropy that adheres to the hash entropy threshold; and a deduplicationoperation will yield a more efficient result than a data compressionoperation when the candidate data portion has a hash entropy above thehash entropy threshold.
 7. The computer program product of claim 6further comprising: if the hash entropy for the candidate data portionadheres to the predefined hash entropy threshold, compressing thecandidate data portion.
 8. The computer program product of claim 6further comprising: performing a comparison analysis on the one or morepotential target data portions, with respect to the candidate dataportion, to identify an acceptable target data portion.
 9. The computerprogram product of claim 8 further comprising: performing adeduplication operation of the candidate data portion based upon theacceptable target data portion.
 10. The computer program product ofclaim 6, wherein the distance-preserving hash includes a cyclicredundancy check.
 11. A computing system including a hardware processorand memory configured to perform operations comprising: receiving acandidate data portion; calculating a distance-preserving hash for thecandidate data portion; performing an entropy analysis on thedistance-preserving hash to generate a hash entropy for the candidatedata portion; and comparing the hash entropy for the candidate dataportion to a predefined hash entropy threshold, wherein if the hashentropy for the candidate data portion exceeds the predefined hashentropy threshold, comparing the hash entropy for the candidate dataportion to one or more target data portion hash entropies to identifyone or more potential target data portions, and wherein hash entropiesto identify one or more potential target data portions, and wherein ifthe hash entropy for the candidate data portion does not exceed thepredefined has entropy threshold, compressing the candidate dataportion, wherein the predefined hash entropy threshold is configuredsuch that: a data compression operation will yield a more efficientresult than a deduplication operation when the candidate data portionhas a hash entropy that adheres to the hash entropy threshold; and adeduplication operation will yield a more efficient result than a datacompression operation when the candidate data portion has a hash entropyabove the hash entropy threshold.
 12. The computing system of claim 11further comprising: if the hash entropy for the candidate data portionadheres to the predefined hash entropy threshold, compressing thecandidate data portion.
 13. The computing system of claim 11 furthercomprising: if the hash entropy for the candidate data portion exceedsthe predefined hash entropy threshold, comparing the hash entropy forthe candidate data portion to one or more target data portion hashentropies to identify one or more potential target data portions. 14.The computing system of claim 13 further comprising: performing acomparison analysis on the one or more potential target data portions,with respect to the candidate data portion, to identify an acceptabletarget data portion.
 15. The computing system of claim 14 furthercomprising: performing a deduplication operation of the candidate dataportion based upon the acceptable target data portion.
 16. The computingsystem of claim 11, wherein the distance-preserving hash includes acyclic redundancy check.